SOLUTION: Complete the square to write c(x)=x^2+6x+14 in vertex form.
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Question 753672: Complete the square to write c(x)=x^2+6x+14 in vertex form.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ x^2\ +\ 6x\ +\ 14)
Divide the coefficient on the first degree term by 2. (6 over 2 is 3) Square the result. (3 squared is 9) Add that result (9) and the opposite of that result (-9) to the RHS of the equation.
\ =\ x^2\ +\ 6x\ +\ 9\ +\ 14\ -\ 9)
Factor the perfect square trinomial and simplify the remainder of the RHS:
 = (x\ +\ 3)^2\ +\ 5)
Done.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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